Question

write the standard form of the line that is parallel to 2 x + 3 y = 4 and passes through the point (1, -4).

Answer 1

2x +3y = -10

Explanation:

The given line equation is in standard form, so the one we write will match that form. A parallel line will have the same x- and y-coefficients, but a different constant on the right.

Put the point values in the left-side expression to find the required right-side constant: (x, y) = (1, -4)

2(1) +3(-4) = constant = 2-12 = -10

Your line is ...

2x +3y = -10